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My friend recently proved 0=1 and i know something is wrong but i dont know what

My friend recently proved 0=1 and i know something is wrong but i dont know what-example-1
User Prokurors
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4.1k points

2 Answers

6 votes

√a × √b = √ab

only if at atleast one among a,b is positive

here both a,b is non negative so not possible

User Odony
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4.7k points
5 votes

Explanation:

Remember when expanding radicals,


√(ab) = √(a) * √(b)

When expanding radicals into two radicals, we don't let our radicand have two negative answers.


i = √( - 1)


{i}^(2) = - 1

We don't do this


(√( - 1) ) {}^(2) = √( - 1 * - 1)


- 1 = √(1)


- 1 = 1

User Kato
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4.5k points